{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Benchmarking\n",
    "\n",
    "The following notebook contains benchmarking information for our implementation for calculating nonradiative recombination rates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "import numpy as np\n",
    "import timeit\n",
    "from nonrad.nonrad import overlap_NM, analytic_overlap_NM, get_C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_args = {\n",
    "    'dQ': 2.008,\n",
    "    'dE': 1.0102,\n",
    "    'wi': 0.0306775211118,\n",
    "    'wf': 0.0339920265573,\n",
    "    'Wif': 0.00669174,\n",
    "    'volume': 1.1e-21,\n",
    "    'g': 1,\n",
    "    'T': 300,\n",
    "    'sigma': None,\n",
    "    'overlap_method': 'analytic'\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overlaps Implementation\n",
    "\n",
    "The following section examines the implementation of computing nuclear wavefunction overlaps."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Timing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "281 µs ± 3.08 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit overlap_NM(test_args['dQ'], test_args['wi'], test_args['wf'], 1, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "151 µs ± 45.5 µs per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%timeit overlap_NM(test_args['dQ'], test_args['wi'], test_args['wf'], 1, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "57.6 µs ± 2.33 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit analytic_overlap_NM(test_args['dQ'], test_args['wi'], test_args['wf'], 1, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "437 ns ± 8.89 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit analytic_overlap_NM(test_args['dQ'], test_args['wi'], test_args['wf'], 1, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-----+-----+----------------------+----------------------+\n",
      "|   m |   n |            integrate |             analytic |\n",
      "+-----+-----+----------------------+----------------------+\n",
      "|   1 |   1 | (  126.0 ±  13.3) μs | (    0.3 ±   0.0) μs |\n",
      "|   1 |   3 | (  133.5 ±   9.2) μs | (    0.4 ±   0.0) μs |\n",
      "|   1 |  11 | (  176.6 ±   7.9) μs | (    0.6 ±   0.1) μs |\n",
      "|   1 |  18 | (  223.9 ±  18.9) μs | (    0.9 ±   0.0) μs |\n",
      "|   1 |  38 | (  312.5 ±  10.5) μs | (   10.7 ±   0.2) μs |\n",
      "|   3 |   1 | (  136.4 ±  10.7) μs | (    0.3 ±   0.0) μs |\n",
      "|   3 |   3 | (  142.0 ±   3.6) μs | (    0.4 ±   0.0) μs |\n",
      "|   3 |  11 | (  184.2 ±  10.5) μs | (    0.9 ±   0.0) μs |\n",
      "|   3 |  18 | (  218.3 ±   7.8) μs | (    1.4 ±   0.0) μs |\n",
      "|   3 |  38 | (  318.3 ±  10.4) μs | (   20.3 ±   0.0) μs |\n",
      "|  11 |   1 | (  174.3 ±   6.1) μs | (    0.5 ±   0.0) μs |\n",
      "|  11 |   3 | (  184.3 ±   7.8) μs | (    0.8 ±   0.0) μs |\n",
      "|  11 |  11 | (  221.1 ±   3.7) μs | (    2.1 ±   0.0) μs |\n",
      "|  11 |  18 | (  259.2 ±   7.8) μs | (    3.8 ±   0.0) μs |\n",
      "|  11 |  38 | (  356.3 ±   6.1) μs | (   61.1 ±   0.0) μs |\n",
      "|  18 |   1 | (  211.5 ±  17.7) μs | (    0.7 ±   0.0) μs |\n",
      "|  18 |   3 | (  215.6 ±   3.6) μs | (    1.2 ±   0.0) μs |\n",
      "|  18 |  11 | (  256.7 ±   5.4) μs | (    3.8 ±   0.0) μs |\n",
      "|  18 |  18 | (  289.7 ±   3.7) μs | (    6.9 ±   0.0) μs |\n",
      "|  18 |  38 | (  395.3 ±  14.1) μs | (  103.5 ±   0.3) μs |\n",
      "|  38 |   1 | (  305.8 ±   6.1) μs | (   10.1 ±   0.0) μs |\n",
      "|  38 |   3 | (  317.5 ±  13.2) μs | (   20.1 ±   0.0) μs |\n",
      "|  38 |  11 | (  359.4 ±   8.0) μs | (   61.4 ±   0.1) μs |\n",
      "|  38 |  18 | (  395.7 ±  15.3) μs | (  103.3 ±   0.1) μs |\n",
      "|  38 |  38 | (  490.4 ±   6.8) μs | (  399.1 ±   1.2) μs |\n",
      "+-----+-----+----------------------+----------------------+\n"
     ]
    }
   ],
   "source": [
    "N = [1, 3, 11, 18, 38]\n",
    "number, repeat = (250, 7)\n",
    "print('+' + '-'*5 + '+' + '-'*5 + '+' + '-'*22 + '+' + '-'*22 + '+')\n",
    "print('|   m |   n |            integrate |             analytic |')\n",
    "print('+' + '-'*5 + '+' + '-'*5 + '+' + '-'*22 + '+' + '-'*22 + '+')\n",
    "for m in N:\n",
    "    for n in N:\n",
    "        t = timeit.Timer(f\"overlap_NM({test_args['dQ']}, {test_args['wi']}, {test_args['wf']}, {m}, {n})\", 'from __main__ import overlap_NM')\n",
    "        results0 = 1e6 * np.array(t.repeat(repeat, number)) / number\n",
    "        t = timeit.Timer(f\"analytic_overlap_NM({test_args['dQ']}, {test_args['wi']}, {test_args['wf']}, {m}, {n})\", 'from __main__ import analytic_overlap_NM')\n",
    "        results1 = 1e6 * np.array(t.repeat(repeat, number)) / number\n",
    "        print(f'| {m: 3d} | {n: 3d} | ({np.mean(results0):7.01f} \\u00B1 {np.std(results0):5.01f}) \\u03BCs | ({np.mean(results1):7.01f} \\u00B1 {np.std(results1):5.01f}) \\u03BCs |')\n",
    "print('+' + '-'*5 + '+' + '-'*5 + '+' + '-'*22 + '+' + '-'*22 + '+')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ni, Nf = (40, 40)\n",
    "overlaps = np.zeros((Ni, Nf, 3))\n",
    "for m in range(Ni):\n",
    "    for n in range(Nf):\n",
    "        overlaps[m, n, 0] = overlap_NM(test_args['dQ'], test_args['wi'], test_args['wf'], m, n)\n",
    "        overlaps[m, n, 1] = analytic_overlap_NM(test_args['dQ'], test_args['wi'], test_args['wf'], m, n)\n",
    "        overlaps[m, n, 2] = np.abs(overlaps[m, n, 1] - overlaps[m, n, 0]) / np.abs(overlaps[m, n, 0])\n",
    "        # print(m, n, overlaps[m, n, 0], overlaps[m, n, 1], overlaps[m, n, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 3, figsize=(12, 4))\n",
    "im0 = ax[0].imshow(overlaps[:, :, 0])\n",
    "fig.colorbar(im0, ax=ax[0], fraction=0.046, pad=0.04)\n",
    "ax[0].set_title('overlap_NM')\n",
    "im1 = ax[1].imshow(overlaps[:, :, 1])\n",
    "fig.colorbar(im1, ax=ax[1], fraction=0.046, pad=0.04)\n",
    "ax[1].set_title('analytic_overlap_NM')\n",
    "im2 = ax[2].imshow(np.log(overlaps[:, :, 2]))\n",
    "fig.colorbar(im2, ax=ax[2], fraction=0.046, pad=0.04)\n",
    "ax[2].set_title('log(Error)')\n",
    "for a in ax:\n",
    "    a.set_xlabel('n')\n",
    "    a.set_ylabel('m')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Capture Coefficient Implementation\n",
    "\n",
    "The following section examines the implementation of the nonradiative capture coefficient and its various aspects such as smearing, overlap choice, etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Timing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.73 s ± 83.4 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%timeit get_C(**test_args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "47.7 ms ± 434 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit get_C(**test_args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "targs = test_args.copy()\n",
    "targs['sigma'] = 0.8*test_args['wf']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.69 s ± 54.5 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%timeit get_C(**targs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "45.8 ms ± 333 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit get_C(**targs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mM6J3Z9fliLQ63wSwpqOMbMGg5bEl2+jRMYGvXDnUdTkibcI3ASyR7ZWNeWTmV/DIrJF0SlSfX/EHBbA4V1FTz+PLdzElvSs3TtBMZ+IfCmBx7ok3d1FeU8d/3zBGfX7FVxTA4lRWYQXPrz3AndPTGNVXD97EXxTA4oy1lh++tp0uHeL52tXDXZcj0uYUwOLMWztKWLu3jIeuGqrJdsSXmjwbmjEmpQmHBa215edRj/hEfSDIj/+5g0E9krht6gDX5Yg40ZzpKAtDr7M9JYkF9Nsk57RgXS57Dx3l6bsm0y5Wf4iJPzUngHdYayee7QBjzObzrEd8oLK2nl++lc2MQd24cmRP1+WIONOcW48ZYTpGfO537+zhSE0d371+pLqdia81OYCttbXhOEb8La+shmdW7+NTE1MZk6ph4eJvLWp8M8Z8O9yFiD888cYuDPCNa9TtTKRJbcDGmJdP3QQmAI+3SkXiWTsPVrIks5AvXDJYE62L0PSHcJXW2ntPbBhjft9K9YiHPfHGbjrGx/HFSwe5LkUkIjS1CeJHH9v+brgLEW/LyCvnze3F3H/JILp0iHddjkhEaFIAW2v3ARhjuoe2y1qzKPGen6/YRbekeO65aKDrUkQiRnMfwj3TKlW0Aa2I4c6aPaW8n1PKA5cNpmNCc7qei3hbcwM4ajttakUMN6y1/HzFLvokJ2qRTZGPaW4A21apQjzr7Z0lbMot5ytXDiWxXazrckQiim/ugKXtWWt54o3dpHXrwM0X9HNdjkjEaW4Af6dVqhBPemtHCduLKvnKFUM14Y7IaTTrt8Jau80Yc4sxphOAMeZRY8xiY8yk1ilPopW1ll+/nc2AlA5a503kDFpyW/I9a22VMeYi4CrgT4AGZshHvLv7EFvyK3jw8sHE6e5X5LRa8psRCP17PTDfWvsPQD3r5SRrLU+uzCa1S3s+NVFtvyJn0pIALjDGPAV8GnjdGJPQwu8jHrU65zCbc8t54LLBxMfpR0PkTFry23ErsAK4NrT8UArwzbBWJVHtyZXZ9O6cyC2TdfcrcjbNHpZkra0BFp+yXQQUhbMoiV5r9x5m3f4yvj9nFAlx6vcrcjb6+1DC6smV2fTolKCFNkWaQAEsYZOZV86aPYe57+KBGvUm0gQKYAmb+e/tpVNiHPN09yvSJE0KYGPMF40xzxljbjPGvGaMeaC1C5Posr/0KP/cVsQd09PolNjOdTkiUaGpd8BXAHcDd1prZwPjW68kiUZPv7+XuJgY7vlEuutSRKJGUwP4sLXWAn8IbR9vpXokCpVWH+eVDfnMnZRKz86JrssRiRpNDeBfQeOcuqHtxWc5VnzmuTX7qQsEue8SrfUm0hxNXZJo58e2/9U65Ui0OXq8gb98cIBrRvVicI+OrssRiSrNHohhjJlM46KcaaGvN4C11o4Lc20SBV7ekEfFsXq+cOlg16WIRJ2WLND1Ao1Dj7cCwfCW03qMMXOAOUOGDHFdimc0BII8vWofU9NTmDSgq+tyRKJOS/oBH7LWLrXW7rPWHjjxCntlYaY14cLvje3FFJQf496LtdKxSEu05A74MWPM08BKTukNYa3Vgzmfeeb9fQxI6cCVI3u5LkUkKrUkgO8BRgDt+HcThEU9I3xla34FGw4c4XuzRxEbo6UCRVqiJQE8xVo7POyVSFR5dvU+kuJjNeWkyHloSRvwGmPMqLBXIlGjpKqWZVsKuWVyfzpr2LFIi7XkDng6kGGM2UdjG7C6ofnMC2tzaQha7tawY5Hz0pIAnhn2KiRqHG8I8MKHB7hieE8Gdk9yXY5IVGtJE8QPgIpTup9VAo+FtyyJVMsyiyitruOeC9X1TOR8tSSAx4XWggPAWnsEmBi+kiRSWWt5dvU+hvXqyIVDurkuRyTqtSSAY4wxJ4c9GWNSaFlThkSZjQeOkFVYyWc/MRBj1PVM5Hy1JDifAD4wxrwS2r4F+FH4SpJI9fzaA3RKiOOTE/u6LkXEE1qyKvJzxpgNNE7SDjDXWrs9vGVJpDlcfZzXtx5k3tT+dIjXHzwi4dCi36RQ4Cp0feSVjfnUBYLcPj3NdSkintHkNmBjzKZwHCPRJxi0vPhhLlMHpjCsVyfX5Yh4RnPugEcaY7ac5XMDaKoxD3ov+xC5ZTV841qNQBcJp+YE8IgmHBNoaSESuZ5fm0v3jvHMHN3bdSkintLkAI6GOX8l/ArKj/H2zmK+eOlg4uNa0mtRRM5Ev1FyVi+ty8UC86YOcF2KiOcogOWM6gNBXlqfx+XDe9I/pYPrckQ8pzm9IL5njHmwNYuRyPLm9mIOVR3n9mm6+xVpDWdtAzbGxFprTzxYuxWYcppj7gV6WGt/3Ar1iUML1uXSNzmRy4b3dF2KiCed6w74p8aY34TeN1hra09zzF+BO8JblriWf6SG93NKuWVyfy05JNJKzhXAR4ATvR+OG2P6fPwAa+1xoD7chYlbr2zIB9CSQyKt6FwBPBU4cdf7BLDEGPORsajGmJ40LsopHhEIWv62MZ+LhnSnX1c9fBNpLWdtA7bW3nBi6klr7SvGmA7ARmPMWiCDxgC/Bfh+axcqbWd1TikF5cd4+LqmjL0RkZY6Zy+I0ITrJ97/BRgILKRxWfpa4DPW2hdarcIwMcbMMcbMr6iocF1KxFu4IY8uHdpxzeherksR8bSWTEdZReODt6hirV0GLJs8efJ9rmuJZGVH63gj6yB3TE8jIS7WdTkinqaBGPIRf99cQH3A8ukp/V2XIuJ5CmA5yVrLy+vzGN8vmRG9O7suR8TzFMByUmZ+BbuKq7hVd78ibUIBLCctXJ9L+3ax3DBea76JtAUFsABQU9fAsswiZo3tQ6fEdq7LEfEFBbAAsCLrINXHGzTyTaQNKYAFgMWbCujXtT1T01NclyLiGwpg4WBFLe/nlDJ3YioxmnhHpM0ogIVXMwqwFuZOUvODSFtSAPuctZZFG/O5IK0r6d2TXJcj4isKYJ/bVlBJdkk1cyelui5FxHcUwD63aFM+8bExzB6rvr8ibU0B7GP1gSBLMwu5alRPkjuo769IW1MA+9i/dh2i7GgdN+nhm4gTCmAfW7w5n25J8VwyrIfrUkR8SQHsU+U1dby1vYQbJvSlXax+DERc0G+eT722pYi6QFDNDyIOKYB9avGmfIb16sjovpr3V8QVBbAP7Ss9yqbccm6a1A9jNPRYxBUFsA8tySjAGLhhgvr+irikAPYZay1LMwuZNjCFPsntXZcj4msKYJ/JKqxk76Gj3DBeQ49FXFMA+8zSzELaxRquG9PbdSkivqcA9pFg0LIss5BLhvaga1K863JEfE8B7CPr95dRVFGrh28iEUIB7CNLMgtp3y6Wq0f1cl2KiKAA9o26hiCvby3iqlG96BAf57ocEUEB7Bvv5xyivKaeG8er+UEkUiiAfWJpRiHJ7dtp5jORCKIA9oFjdQHe2F7MrLG9iY/TJReJFPpt9IG3dhRTUxdgjpofRCKKbwLYGDPHGDO/oqLCdSltbklGIb06JzBtYDfXpYjIKXwTwNbaZdba+5OTk12X0qYqaur51+4SZo/rS2yMZj4TiSS+CWC/Wp5VRH3AcqMGX4hEHAWwxy3JKCS9WwfGpvrrzl8kGiiAPaykspYP9h7mhgmpmnhdJAIpgD1s2ZYirIUb1PtBJCIpgD1saWYho/t2ZkjPjq5LEZHTUAB71P7So2TmlevuVySCKYA9allmIYAGX4hEMAWwB1lrWZJZyNT0FPp20bpvIpFKAexBO4qqyCmp1sTrIhFOAexBSzILiIsxzBrbx3UpInIWCmCPCQYtr2UWcdHQ7qRo3TeRiKYA9piNuUcoKD+mocciUUAB7DFLMwpJiIvh6lFadl4k0imAPaQ+EOQfoXXfOiZo3TeRSKcA9pDVOaWUHa3T4AuRKKEA9pClGYV0SozjsuFa900kGiiAPaK2PsCKrIPMGtOHhLhY1+WISBMogD1i5Y4SjtYFNPhCJIoogD1iSUYBPTolMH2Q1n0TiRYKYA+oqKnn3V2HmKN130SiigLYA5ZnFVEXCGrwhUiUUQB7wNLMxnXfxvXTum8i0UQBHOVKKmtZs+cwN4zvq3XfRKKMAjjKnVz3Tc0PIlFHARzllmYUhNZ96+S6FBFpJgVwFNtfepTM/Ao9fBOJUgrgKLY0tO7b7HEKYJFopACOUtZaXs0oYOpArfsmEq0UwFEqq7CSvYeOqvlBJIopgKPU0szCxnXfxmjdN5FopQCOQsGgZVlmIZcM60FXrfsmErUUwFHog72HKaqo5ZMTU12XIiLnQQEchRZtyqdTQhzXjOrluhQROQ8K4Chz9HgDy7cd5PpxfUhsp4nXRaKZAjjKLN92kJq6ADdd0M91KSJynhTAUWbx5nwGpHRgclpX16WIyHlSAEeRwvJjrNlzmLmTUjXzmYgHKICjyN83F2AtzJ2o5gcRL1AARwlrLYs35TM1PYUB3Tq4LkdEwkABHCW25Few59BR5k5S318Rr1AAR4lXNuaREBfDrHEaeiziFQrgKFBT18CSzYVcP7YPnRPbuS5HRMJEARwF/rGliKrjDdw2dYDrUkQkjBTAUWDBulwG90hiSrr6/op4iW8C2Bgzxxgzv6KiwnUpzbK7uIpNueXMmzpAfX9FPMY3AWytXWatvT85Odl1Kc2yYF0u8bExzJ2kvr8iXuObAI5GtfUBFm8q4JrRvUjRvL8inqMAjmCvby2i4lg98/TwTcSTFMARylrLn9fsZ3CPJD4xuJvrckSkFSiAI9Sm3HK25Ffw2U+k6+GbiEcpgCPUn9fsp1NinB6+iXiYAjgCHayo5Z9bi/j05P4kJcS5LkdEWokCOAI9v/YAAWu5a0a661JEpBUpgCNM9fEGnvtgP1eP7KVpJ0U8TgEcYV788ACVtQ38x+VDXJciIq1MARxBausD/HHVPi4c0o0J/bu4LkdEWpkCOIIs2pTPoarjPHiZ7n5F/EABHCFq6wP87p09TOjfhRkaeCHiCwrgCPHCh7kUlB/jm9cO18ALEZ9QAEeAqtp6fvtODhcN6c6FQ7q7LkdE2ogCOAI89a+9lB2t45vXDnddioi0IQWwY/tKjzL/vb18ckJfxqvng4ivKIAdstbyX0u2kRAXwyPXj3Rdjoi0MQWwQ0szC1mVXcrXrhlGz06JrssRkTamAHYk/0gNj766jQvSunLn9DTX5YiIAwpgB+oagjy0MANr4Re3TiAuVpdBxI8012Ebs9byvVe3sX7/EX512wRNuCPiY7r1akPWWn7x5m4Wbsjjy1cM4cYJqa5LEhGHdAfcRgJBy0/+uYM/rtrHrZP78dBVw1yXJCKOKYDbQEH5MR5etIVV2aXcNSON788ZTUyMhhuL+J0CuBXllFTz4oe5vLjuAAA/mTuWT0/pr7keRARQAJ9VSVUtb2QVY60laCEY+rdx+9/7rIVgsHG7srae/CM1ZBVWkn/kGHExhjnj+/KNa4eT2qW961MSkQiiAD6LvLJjPPrqtmZ9Tft2sfRPac+Yvsncf8kgZo7prUEWInJaCuCzGJuazLrvXkmMMaEXmNC/J/aZk+85ua0mBhFpCgXwWcTHxejuVURajfoBi4g4ogAWEXFEASwi4ogCWETEEQWwiIgjCmAREUcUwCIijiiARUQcUQCLiDiiABYRcUQBLCLiiLHWuq6hTRljDgEHmvll3YHSVignkugcvUHnGBnSrLU9znWQ7wK4JYwxG6y1k13X0Zp0jt6gc4wuaoIQEXFEASwi4ogCuGnmuy6gDegcvUHnGEXUBiwi4ojugEVEHFEAi4g4ogA+C2PMTGPMLmNMjjHmYdf1tJQxpr8x5h1jzHZjTJYx5quh/SnGmDeNMdmhf7uG9htjzJOh895ijJnk9gyazhgTa4zZbIx5LbQ90BjzYehcFhpj4kP7E0LbOaHP013W3VTGmC7GmL8ZY3YaY3YYY2Z47ToaYx4K/ZxuM8YsMMYkeu06nqAAPgNjTCzwW+A6YBQwzxgzym1VLdYAfN1aOwqYDjwYOpeHgZXW2qHAytA2NJ7z0NDrfuD3bV9yi30V2HHK9uPAL6y1Q4AjwOdD+z8PHAnt/0XouGjwK2C5tXYEMJ7Gc/XMdTTGpAJfASZba8cAscCGiYCYAAAD40lEQVRteO86NrLW6nWaFzADWHHK9neA77iuK0zntgS4GtgF9Ant6wPsCr1/Cph3yvEnj4vkF9CPxgC6AngNMDSOmIr7+DUFVgAzQu/jQscZ1+dwjvNLBvZ9vE4vXUcgFcgDUkLX5TXgWi9dx1NfugM+sxM/CCfkh/ZFtdCfaBOBD4Fe1tqi0EcHgV6h99F67r8EvgUEQ9vdgHJrbUNo+9TzOHmOoc8rQsdHsoHAIeDZUDPL08aYJDx0Ha21BcDPgVygiMbrshFvXceTFMA+YozpCCwC/tNaW3nqZ7bxFiJq+yQaY2YDJdbaja5raUVxwCTg99baicBR/t3cAHjiOnYFbqTxfzZ9gSRgptOiWpEC+MwKgP6nbPcL7YtKxph2NIbvC9baxaHdxcaYPqHP+wAlof3ReO4XAjcYY/YDL9HYDPEroIsxJi50zKnncfIcQ58nA4fbsuAWyAfyrbUfhrb/RmMge+k6XgXss9YestbWA4tpvLZeuo4nKYDPbD0wNPT0NZ7GBwFLHdfUIsYYA/wJ2GGt/d9TPloK3B16fzeNbcMn9t8Veoo+Hag45U/ciGSt/Y61tp+1Np3Ga/W2tfZ24B3g5tBhHz/HE+d+c+j4iL5ztNYeBPKMMcNDu64EtuOh60hj08N0Y0yH0M/tiXP0zHX8CNeN0JH8AmYBu4E9wHdd13Me53ERjX+WbgEyQq9ZNLaVrQSygbeAlNDxhsYeIHuArTQ+kXZ+Hs0438uA10LvBwHrgBzgFSAhtD8xtJ0T+nyQ67qbeG4TgA2ha/kq0NVr1xH4b2AnsA34K5Dgtet44qWhyCIijqgJQkTEEQWwiIgjCmAREUcUwCIijiiARUQcUQCLiDiiABYRcUQBLL5jjLnXGJMRegVPef+LU45JN8YcM8ZknLKv+pT3s4wxu40xaaGvrTPGdG/rc5HopoEY4luhuWfXWGvTTvNZOo2j6cacsq/aWtvRGHMljVM9Xmut3RP6bD+NI81K26J28Ya4cx8i4lljaByi22TGmEuAPwKzToSvSEspgMXPxtI430BTJdA4/8Jl1tqdrVOS+InagMXPmnsHXA+s4d/L4YicFwWw+Flz74CDwK3AVGPMI61TkviJmiDEl4wxMTQuVrnjXMeeylpbY4y5HlhljCm21v6pVQoUX1AAi18NoXF1ibrmfqG1tswYMxN4zxhzyFoblRP1i3sKYPEla+1uYFQzv6bjKe/zaFy3TKTF1AYscnoBIPnUgRinY4xpHzqmHf9ejVmkSTQQQ0TEEd0Bi4g4ogAWEXFEASwi4ogCWETEEQWwiIgjCmAREUcUwCIijvx/Rwf89DJiyKQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "targs = test_args.copy()\n",
    "targs['T'] = np.linspace(0.01, 900, 1000)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "ax.semilogy(targs['T'], get_C(**targs))\n",
    "ax.set_xlabel('$T$ [K]')\n",
    "ax.set_ylabel(r'$\\tilde{C}$ [cm$^{3}$ s$^{-1}$]')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "targs = test_args.copy()\n",
    "targs['T'] = np.linspace(0.01, 1000, 100)\n",
    "sigmas = targs['wf'] * np.linspace(0.1, 2., 100)\n",
    "colors = plt.get_cmap('viridis')(sigmas / np.max(sigmas))\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(9, 4))\n",
    "interpC = get_C(**targs)\n",
    "ax[0].semilogy(targs['T'], interpC, color='r', zorder=100)\n",
    "for sigma, color in zip(sigmas, colors):\n",
    "    targs['sigma'] = sigma\n",
    "    sigmaC = get_C(**targs)\n",
    "    ax[0].semilogy(targs['T'], sigmaC, color=color)\n",
    "    ax[1].semilogy(targs['T'], np.abs(sigmaC - interpC) / np.abs(interpC), color=color)\n",
    "ax[0].set_xlabel('$T$ [K]')\n",
    "ax[0].set_ylabel(r'$\\tilde{C}$ [cm$^{3}$ s$^{-1}$]')\n",
    "ax[1].set_xlabel('$T$ [K]')\n",
    "ax[1].set_ylabel('Error')\n",
    "plt.tight_layout()\n",
    "plt.subplots_adjust(right=0.85)\n",
    "cbarax = fig.add_axes([0.875, 0.155, 0.02, 0.79])\n",
    "im = mpl.cm.ScalarMappable(norm=mpl.colors.Normalize(vmin=np.min(sigmas), vmax=np.max(sigmas)), cmap=plt.get_cmap('viridis'))\n",
    "im.set_array([])\n",
    "cbar = fig.colorbar(im, cax=cbarax)\n",
    "cbar.set_label('$\\sigma$ [eV]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "nonrad_py3",
   "language": "python",
   "name": "nonrad_py3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
